Details

sample33.0ms

Algorithm

intervals

Results

22.0ms

268×

body

valid

simplify8.0ms

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.5b

localize18.0ms

Local error

Found 3 expressions with local error:

27.5b	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
1.0b	(+ (* a c) (* b d))
0.0b	(+ (* c c) (* d d))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-cbrt-cube` `add-exp-log`
4×	`flip3-+` `flip-+`
3×	`pow1` `associate-/r` `insert-posit16` `associate-/l`
2×	`+-commutative` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

3 → 56

Calls

3 calls:

Slowest

37.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
9.0ms	(+ (* c c) (* d d))
8.0ms	(+ (* a c) (* b d))

series186.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

93.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
52.0ms	(+ (* a c) (* b d))
40.0ms	(+ (* c c) (* d d))

simplify313.0ms

Counts: 77 → 65

prune596.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 27.1b

localize28.0ms

Local error

Found 4 expressions with local error:

27.6b	(sqrt (+ (* c c) (* d d)))
27.6b	(sqrt (+ (* c c) (* d d)))
17.5b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
1.0b	(+ (* a c) (* b d))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac` `sqrt-prod`
6×	`pow1` `associate-/r*` `add-cbrt-cube` `sqrt-div` `add-exp-log` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`insert-posit16`
3×	`associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 88

Calls

4 calls:

Slowest

53.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
9.0ms	(sqrt (+ (* c c) (* d d)))
9.0ms	(sqrt (+ (* c c) (* d d)))
7.0ms	(+ (* a c) (* b d))

series275.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

145.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
45.0ms	(sqrt (+ (* c c) (* d d)))
45.0ms	(sqrt (+ (* c c) (* d d)))
38.0ms	(+ (* a c) (* b d))

simplify293.0ms

Counts: 126 → 100

prune1.1s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 24.6b

localize28.0ms

Local error

Found 3 expressions with local error:

27.5b	(/ (+ (* a c) (* b d)) (+ (* d d) (* c c)))
1.0b	(+ (* a c) (* b d))
0.0b	(+ (* d d) (* c c))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-cbrt-cube` `add-exp-log`
4×	`flip3-+` `flip-+`
3×	`pow1` `associate-/r` `insert-posit16` `associate-/l`
2×	`+-commutative` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

3 → 56

Calls

3 calls:

Slowest

43.0ms	(/ (+ (* a c) (* b d)) (+ (* d d) (* c c)))
10.0ms	(+ (* a c) (* b d))
10.0ms	(+ (* d d) (* c c))

series175.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

104.0ms	(/ (+ (* a c) (* b d)) (+ (* d d) (* c c)))
39.0ms	(+ (* a c) (* b d))
31.0ms	(+ (* d d) (* c c))

simplify267.0ms

Counts: 77 → 65

prune587.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 24.6b

localize64.0ms

Local error

Found 4 expressions with local error:

27.6b	(sqrt (+ (* c c) (* d d)))
27.6b	(sqrt (+ (* c c) (* d d)))
27.6b	(sqrt (+ (* c c) (* d d)))
17.5b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
22×	`*-un-lft-identity` `add-cube-cbrt`
21×	`sqrt-prod`
18×	`times-frac`
8×	`sqrt-div`
7×	`pow1`
6×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
5×	`flip3-+` `flip-+`
4×	`insert-posit16` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/l*`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 92

Calls

4 calls:

Slowest

31.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
9.0ms	(sqrt (+ (* c c) (* d d)))
6.0ms	(sqrt (+ (* c c) (* d d)))
5.0ms	(sqrt (+ (* c c) (* d d)))

series260.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

131.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
46.0ms	(sqrt (+ (* c c) (* d d)))
45.0ms	(sqrt (+ (* c c) (* d d)))
36.0ms	(sqrt (+ (* c c) (* d d)))

simplify314.0ms

Counts: 132 → 104

prune1.2s

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 24.6b

regimes452.0ms

Accuracy

0% (2.7b remaining)

Error of 26.0b against oracle of 23.2b and baseline of 26.0b

bsearch3.0ms

end0.0ms

sample1.2s

Algorithm

intervals

Results

834.0ms

8453×

body

valid